Question

A man 6 ft tall casts a shadow 4 ft. long at the same time when a flag pole casts a shadow 50 ft long. The height of the flag pole is :

• A. 80 ft
• B. 75 ft
• C. 60 ft
• D. 70 ft

Answer 1

The correct option is B 75 ft

$\Delta ADE\sim \Delta ABC$

$\therefore$ By similarity condition :

$\frac{DE}{BC}=\frac{AE}{AC}$

$\therefore \frac{6}{h}=\frac{4}{50}$

$4h=300$

$\therefore h=75ft$